Abstract: The two-dimensional electron gas is a fascinating model system which has an astonishingly large number of many-body ground states. Examples are the family of fractional quantum Hall states and exotic electronic solids. Numerous fractional states can be accounted by the composite fermion theory and work in this field has enriched quantum many-body physics with novel concepts such as composite fermions, quasiparticles with fractional charge, and topological invariants. A small number of recently observed fractional states, however, cannot be explained by the existence of free composite fermions. The description of these exotic states is believed to require a more sophisticated set of concepts such as Pfaffian electronic correlations and non-Abelian statistics. In this talk I will present evidence of a new high order fractional quantum Hall state at Ã¯ÂÂ®=2+6/13 developing at ultra low temperatures and I will discuss how this finding shaped the understanding of the exotic fractional states such as the one at Ã¯ÂÂ®=12/5. I will also present data on the exotic electron solids developed in close vicinity of these fractional states.